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20934982656 = 210357217101
BaseRepresentation
bin10011011111110100…
…100111110000000000
32000000222212022100000
4103133310213300000
5320333323421111
613341205200000
71340534262600
oct233764476000
960028768300
1020934982656
118973285365
124083100000
131c882cc203
14102854ac00
15827da7c56
hex4dfd27c00

20934982656 has 792 divisors, whose sum is σ = 77977042416. Its totient is φ = 5573836800.

The previous prime is 20934982643. The next prime is 20934982687. The reversal of 20934982656 is 65628943902.

It is a happy number.

20934982656 is a `hidden beast` number, since 2 + 0 + 93 + 498 + 2 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207277006 + ... + 207277106.

Almost surely, 220934982656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20934982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38988521208).

20934982656 is an abundant number, since it is smaller than the sum of its proper divisors (57042059760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20934982656 is a wasteful number, since it uses less digits than its factorization.

20934982656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 20934982656 in words is "twenty billion, nine hundred thirty-four million, nine hundred eighty-two thousand, six hundred fifty-six".